def mystery(x):
if not (isinstance(x, int) and 0 <= x < 4294967296):
return False
# A series of reversible transformations on a 32-bit integer
v = (x * 3735928559) & 4294967295
v = ((v << 13) | (v >> 19)) & 4294967295
v = (v ^ 305419896)
v = (v * 4919 + 1) & 4294967295
v = v ^ (v >> 16)
return v == 3770335882
def mystery(x):
if not isinstance(x, int):
return False
# A linear recurrence over bits, disguised as bitwise operations.
return (x ^ (x >> 1) ^ (x >> 2) ^ (x >> 3)) == 0x12345678
def mystery(x):
if not (isinstance(x, int) and 0 <= x < 4294967296):
return False
# A sequence of four reversible transformations on a 32-bit integer.
# Step 1: XOR-shift
v = (x ^ (x >> 16)) & 0xFFFFFFFF
# Step 2: Modular multiplication
v = (v * 0x31415927) & 0xFFFFFFFF
# Step 3: Bitwise rotation (circular shift)
v = ((v << 13) | (v >> 19)) & 0xFFFFFFFF
# Step 4: XOR with a constant
v = (v ^ 0x55555555) & 0xFFFFFFFF
return v == 0xdeadbeef
def mystery(x):
if not isinstance(x, int):
return False
if not (0 <= x < 0x100000000):
return False
# Sum of hexadecimal digits
h = hex(x)[2:]
s = 0
for c in h:
s += int(c, 16)
if s != 21:
return False
v = x
v ^= (v >> 16)
v &= 0xFFFFFFFF
v ^= (v << 9)
v &= 0xFFFFFFFF
v ^= (v >> 7)
v &= 0xFFFFFFFF
return v == 1004331136
def mystery(x):
if not (isinstance(x, int) and 0 <= x < 0x100000000):
return False
# Step 1: Nibble swap
# This operation swaps the adjacent 4-bit nibbles of the 32-bit integer.
v = ((x & 0x0F0F0F0F) << 4) | ((x & 0xF0F0F0F0) >> 4)
# Step 2: Linear transformation
# A standard modular multiplication and addition.
v = (v * 31337 + 1234567) & 0xFFFFFFFF
# Step 3: XOR-shift
# A reversible bitwise XOR with a right-shifted version of itself.
v ^= (v >> 13)
return v == 2960602281
def mystery(x):
if not isinstance(x, int):
return False
if not (0 <= x < 0x100000000):
return False
v = x
v = (v * 0x1337) & 0xFFFFFFFF
v = (v ^ 0xCAFEBABE) & 0xFFFFFFFF
v = (v + 0xDEADBEEF) & 0xFFFFFFFF
v = v ^ (v >> 17)
return v == 2361617646
def mystery(x):
if not (isinstance(x, int) and 0 <= x < 4294967296):
return False
# Step 1: XOR with a constant
v = (x ^ 305419896)
# Step 2: Modular addition
v = (v + 3735928559) & 4294967295
# Step 3: Circular bitwise rotation (Left shift by 13)
v = ((v << 13) | (v >> 19)) & 4294967295
# Step 4: XOR with another constant
v = (v ^ 1431655765)
return v == 3944696691
def mystery(x):
if not (isinstance(x, int) and 0 <= x < 0x100000000):
return False
v = x
v ^= 0x12345678
v = ((v << 1) | (v >> 31)) & 0xFFFFFFFF
v = (v + 0x87654321) & 0xFFFFFFFF
v ^= (v >> 4)
v = (v * 3) & 0xFFFFFFFF
return v == 0xF7B7D5F4
def mystery(x):
if not (isinstance(x, int) and 0 <= x < 4294967296):
return False
# Step 1: Bitwise XOR with a constant
# This flips alternating bits of the input.
v = x ^ 0xAAAA5555
# Step 2: Modular addition
# A standard addition modulo 2^32.
v = (v + 0x12345678) & 0xFFFFFFFF
# Step 3: Circular bitwise rotation (Left shift by 5)
# A 32-bit circular left shift.
v = ((v << 5) | (v >> 27)) & 0xFFFFFFFF
# Step 4: Bitwise XOR with another constant
v = v ^ 0x0F0F0F0F
return v == 196270103
def mystery(x):
if not isinstance(x, int):
return False
if not (0 <= x < 2**32):
return False
v = x
v ^= 0x11111111
v = (v + 0x22222222) & 0xFFFFFFFF
v ^= 0x33333333
v = (v + 0x44444444) & 0xFFFFFFFF
v ^= 0x55555555
v = (v + 0x66666666) & 0xFFFFFFFF
v ^= 0x77777777
v = (v + 0x88888888) & 0xFFFFFFFF
v ^= 0x99999999
v = (v + 0xAAAAAAAA) & 0xFFFFFFFF
return v == 0x45FA27D9